## Cofactor matrix

In this post we explain what the cofactor matrix is and how to find it. Also, you’ll find examples of 2×2 and 3×3 cofactors matrices, so that you can perfectly understand how to compute the cofactor matrix. However, to comprehend the cofactor matrix, you need to know what a cofactor is. So, first we’ll see …

## Properties of determinants

On this post we are going to see all the properties of determinants. We explain each property with an example so that you understand them perfectly. In addition, you will find solved exercises of the properties of determinants. All properties of determinants Determinant of the transpose of a matrix The determinant of a matrix is …

## Cofactor expansion

Here we explain how to compute the determinant of a matrix using cofactor expansion. First you will find what minors and cofactors are (necessary to apply the cofactor expansion method), then what the cofactor expansion is about, and finally an example of the calculation of a 3×3 determinant by cofactor expansion. Minor and Cofactor Before …

## Determinant of a 4×4 matrix

We explain how to solve the determinant of a 4×4 matrix with an example. Also, you will find solved exercises so that you can practice and perfectly understand how to compute the determinant of a 4×4 matrix. How to find the determinant of a 4×4 matrix using row operations and cofactor expansion Let’s see how …

## How to find the determinant of a 3×3 matrix

Here we explain how to find the determinant of a 3×3 matrix using the cofactor expansion method or using the shortcut method. Also, you will see examples of the computations of 3×3 determinants and, finally, you will find solved exercises so that you can practice and perfectly understand how to evaluate the determinant of a …

## Rule of Sarrus

Here we explain what the Rule of Sarrus is and how to find the determinant of a 3×3 matrix using the Rule of Sarrus. In addition, we will discuss whether the Rule of Sarrus can also be used to compute a 4×4 determinant or not. And, finally, you will see solved exercises of 3×3 determinants …

## Determinant of a 2×2 matrix

On this post we explain you what the determinant of a 2×2 matrix is and how to find the determinant of a 2×2 matrix. In addition, you will find examples and exercises solved step by step on how to solve determinants of order 2, so that you can practice and understand perfectly how to do …

## Power of a matrix

On this post we explain how to calculate the power of a matrix. Here you will find examples and exercises solved step by step of matrix powers that will help you understand it perfectly. You will also learn what the nth power of a matrix is and how to find it. How to find the …

## Matrix multiplication

On this post you will see how to calculate a matrix multiplication. We explain the procedure of multiplying matrices step by step through an example, and then you will find solved exercises so that you can also practice. Finally, you will learn when two matrices cannot be multiplied and all the properties of this matrix …

## Scalar multiplication of matrices

On this post we explain how to multiply a matrix by a scalar (number). You will see examples of scalar multiplications of matrices that will help you understand it perfectly and solved exercises so that you can practice. You will also find all the properties of the product of a scalar and a matrix. How …

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